Write sin if a is 13, b is 84, and c is 85

Given a right triangle with sides \( a = 13 \), \( b = 84 \), and hypotenuse \( c = 85 \), the sine of the angle opposite side \( a \) can be calculated using the sine definition:

\[
\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}
\]

Here, the opposite side to the angle is \( a = 13 \), and the hypotenuse is \( c = 85 \). Therefore:

\[
\sin(\theta) = \frac{13}{85}
\]

Would you like more details or have any other questions? Here are some related questions you might find useful:

1. How do you calculate cosine if \( a = 13 \), \( b = 84 \), and \( c = 85 \)?
2. What is the tangent of the angle opposite side \( a \) in this triangle?
3. Can you find the area of the triangle with these side lengths?
4. How do you find the angle in degrees using the sine value?
5. What is the cosine of the angle opposite side \( b \) in this triangle?

**Tip:** The Pythagorean theorem is a useful tool for checking whether a given set of sides forms a right triangle.

Write sin if a is 13, b is 84, and c is 85.

Learn how to calculate the sine of an angle in a right triangle where sides are a = 13, b = 84, and hypotenuse c = 85. This problem demonstrates the use of trigonometric ratios and the Pythagorean Theorem, making it suitable for students in Grades 9-10.

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